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Finding the Fourth Proportional to 146.03, 200.43 and 130.13

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Solution

The fourth proportional to 146.03, 200.43 and 130.13 is: 178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.03 : 200.43 = 130.13 : x
  2. Step 2: Convert to fraction form
    146.03/200.43 = 130.13/x
  3. Step 3: Cross multiply
    146.03x = 200.43 × 130.13
  4. Step 4: Simplify right side
    146.03x = 26,081.96
  5. Step 5: Solve for x
    x = 26,081.96/146.03
  6. Step 6: Final answer
    x = 178.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.